Finding the Third Proportional to 264,078 and 397,384

Step by Step Solution

1. Step 1: Write the proportion equation
   264,078 : 397,384 = 397,384 : x
2. Step 2: Convert to fraction form
   264,078/397,384 = 397,384/x
3. Step 3: Cross multiply
   264,078x = 397,384 × 397,384
4. Step 4: Simplify right side
   264,078x = 157,914,043,456
5. Step 5: Solve for x
   x = 157,914,043,456/264,078
6. Step 6: Final answer
   x = 597,982.58